Can't bevel an intricate mesh
If you're using mesh (and not other methods like Displacement modifier or Bump or Normal Maps), I'm not sure there's any easy way to fix bevels, maybe somebody will tell. Anyway, let say you have this shape:



To simplify it, use the Checker Deselect tool, play with the parameters to delete as many vertices as you want.



Once you're glad extrude the mesh, then bevel.



Now you need to bring some manual corrections where the edges are overlapping.



If you need to fatten the bottom, select it and use altS.



As I suppose your mesh is supposed to bend at the end, add some additional edge loops on the surface.